Transformations
Standard to Vertex
Vertex to Standard
Vocabulary
100

Describe the Transformations:
f(x) = (x-2)²+5 

Right 2, up 5

100

x² + 4x + 6

(x + 2)² + 2

100

(x - 1)² - 6

x² - 2x - 5

100

the graph of a quadratic function

parabola

200

Describe the Transformations:
f(x) = -2x²

Reflection, stretch of 2

200

x² - 8x + 11

(x - 4)² - 5

200

(x - 6)² + 10

x² - 12x + 46

200

a line about which a figure is symmetric

axis of symmetry

300

Describe the Transformations:
f(x) = 1/4(x+7)²

compress by a factor of 1/4, Left 7

300

x² + 2x + 4

(x + 1)² + 3

300

(x - 3)² - 4

x² - 6x +5

300

What are roots?

the solutions, zeros, and x-intercepts of a quadratic equation

400

What is the equation with these transformations?

Reflection, stretch of 3, Up 7

f(x) = -3x²+7

400

x² + 10x + 33

(x + 5)² + 8

400

(x + 2)² - 4

x² + 4x

400

The y (or k) coordinate of your vertex is also your....

maximum or minimum value

500

What is the equation in vertex form to this Transformation?

Reflection, shrink of ¼, Right 1, Up 3

f(x) = -¼(x-1)²+3

500

 x² - 12x + 46

(x - 6)² + 10

500

2(x + 9)² + 8

2x² + 36x + 170

500

y=a(x-h)2+k, where (h,k) is the vertex of the parabola and x=h is its axis of symmetry

vertex form